NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities-This chapter is a combination of several important topics, like ratios, percentages, Discount, Profit & Loss and Simple/Compound interest will be covered under this chapter with 3 exercises. To help the students step by step NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities are prepared and explained by subject experts.
We know that the ratio of two quantities means comparing quantities. In this chapter, we are going to compare quantities like marks of two students, the height of two persons, a comparison of profit, sales value, etc. NCERT Class 8 Maths Chapter 8 Comparing Quantities is a compilation of 4-5 arithmetic topics to revise all the concepts again. Because in previous classes we all have gone through all these chapters in great detail. Some examples related to the topics are as follows-
If a man bought 5 oranges out of 20 oranges then the ratio between oranges purchased and total oranges = 5/25 = 1:5
If a student got 80 marks in =80/160x100 =50%
the exam which have 160 maximum marks, so the percentage of marks obtained by the student
If a man’s old salary is 200 & his new salary is 300 then by how much his salary has been increased =100/200x100=50%
If a man purchase something at 100 Rs and sold that at 120 then profit & profit% = profit = 120 - 100 = 20Rs
Profit% = (20/100) x 100 = 20%
If the Marked price of an article is 150 Rs & discount given by shopkeeper is 20% then selling price of an article,
Discount = 150 x 20/100 = 30
SP = 150 -30 = 120Rs
If 100 Rs is invested on SI for 2 years at 20% rate of interest find the interest,
= 100 x 2 x 20/100 = 40Rs
In this chapter, there are 3 exercises with 26 questions. The first exercise of CBSE Class 8 Chapter Comparing Quantities on percentage and ratio. The second exercise is on finding the increase or decrease percent and finding discounts. Through these NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities we want to cover all the problems related to ratios, percentages, discount, profit-loss and Simple-Compound interest. So that the students go through the revision of the topics did in their previous classes.
Through this NCERT solution for Class 8 Maths Chapter 8 - Comparing Quantities we try to cover all the problems related to ratios, percentages, discount, profit-loss and Simple-Compound interest so that the students are able to revise.
8.1 Recalling Ratios and Percentages
8.2 Finding the Increase or Decrease percent
8.3 Finding Discounts
8.3.1 Estimation in percentages
8.4 Prices Related to Buying and Selling (Profit and Loss)
8.4.1 Finding cost price/selling price, profit %/loss%
8.5 Sales Tax/Value Added Tax/Goods and Services Tax
8.7 Deducing a Formula for Compound Interest
8.8 Rate Compounded Annually or Half Yearly(Semi-Annually)
8.9 Applications of Compound Interest Formula
NCERT Solutions for Class 8 Maths Chapter 8 - Comparing Quantities
|Chapter -1||Rational Numbers|
In a primary school, the parents were asked about the number of hours they spend per day in helping their children to do homework.There were 90 parents who helped for hour
to hours. The distribution of parents according to the time for which they said they helped is given in the adjoining figure; 20% helped for more than hours; 30% helped for hour to hours; 50 % did not help at all.
Using this, answer the following :
(iii) How many said that they helped for more than hours?
Find the amount to be paid
1. At the end of 2 years on Rs. 2,400 at 5% per annum compounded annually.
]7 Maria invested Rs 8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find
(ii) The interest for the 3rd year.